? Each of the following questions is a series arranged according to a certain law, but one is missing. Please carefully observe the arrangement of the series, and then choose the most appropriate and reasonable one from the four alternative answers to fill in the blanks.

? 1.3,4,6,9,(? ), 18

? a . 1 1b . 12c . 13d . 15

? 2.545,468,549,464,554,459,560,? (? )

? Point 566? b.455？ c.570？ Article 453

? 3. 12, 12, 18,36,90,(? ),945

? a.22 1？ b.224？ AD 270-226

? 4.4,4,3,-2,? (? )

? Answer -3 b.4 c.4？ d-8

? 5.6,24,60, 120,? (? )

? a. 186？ 2 10 d.220

? Second, the analysis of numerical reasoning examples

? 1: A arithmetic progression can be obtained through simple processing. Subtract the last term of the series from the previous term in turn to get 1, 2, 3, (? ) arithmetic progression. Obviously (? ) should be 4, from which it can be concluded that the number 4 larger than the previous item 9 is exactly 13. The answer is C.

? To answer such a question, we must change our way of thinking. Looking at the characteristics of the number arrangement, we can find that the first number is more, the second number is less, the third number is more, and the fourth number is less, that is, there are more singular numbers and fewer even numbers. It can be judged that this is an arrangement formed by alternating two series. The first column is a number in a singular position, with 4, 5 and 6 added; The second column is the number of even positions, minus 4, 5 and 6. So the number in brackets should be 459-6 = 453, so option D is the correct answer.

? This is the deformation of geometric series. This kind of question type is a difficult point in the examination questions so far. If you can't master the rules, you really can't start. Every last item in this question is obtained by multiplying the previous item by a number, but each multiplier is different. Starting from the first item, the multipliers are 1, 1.5, 2, 2.5 and 3 respectively. The answer is C.

? This series of numbers looks simple, but it takes several turns to arrange them, which makes this seemingly simple question actually become a very difficult one. The arrangement rules of this test question are 4, 6, 8, 10, 12 with L, 2 3, 4, 5 respectively, and get 5, 8, 65438+. The square of 5 is 1, 4, 9, 16, 25, and you get 4, 4, 3, -2, -8, so option D is the correct answer.

? This is a difficult topic, and the design of layout rules is complicated. There are two laws in the design of this problem: one is that each number is a cube of a certain number MINUS this number, and the other is that the subtracted value is not fixed, but presents a certain changing law. The first number is 2 minus the cube of 2, which is 2. -2=6; The second number is 3 minus the cube of 3, which is 3. -3=24; The third number is 4 minus 4 cube, which is 4. -4=60; By analogy, the fifth number is the cube of 6 MINUS 6; That's six. -6=2 10, so option c is the correct answer.

? Third, examples of mathematical operations

? 1.34. 16 tons, 47.82 tons, 53.84 tons, 64. 18 tons:? (? )

? a. 198？ b.200？ c.20 1？ d.203

? 2. What is the value of158.93+75.62-11.475? (? )

? a.203.075？ b.2 13.075？ c.222.075？ d.223.075

? What is the value of 3.25 x 25+ 1-23 x23? (? )

? a.96b.97？ c.98 d.99

? 4.98? 4 ? What is the value of 98+4? (? )

? a . 10 000 b . 1 000 c . 100 000d . 9 000

? The distance between a and b is 40 kilometers. Someone started riding a bike from A, started riding for 24 minutes at a speed of 30 kilometers per hour, and then rode the rest of the distance at a speed of 8 kilometers per hour. Ask * * * how many minutes did it take people to ride all the miles?

? (? )

? a. 1 17b.234？ c. 150d.2 10

? 6. A commodity rose by 20% on the basis of the original price, and then dropped by 20%. Is the price after the price reduction higher than before the price increase? (? )

? A. the price is high before the price increase. Are they equal? C. is the price high after the price reduction? D. uncertainty

? 7. If the number A is 25% larger than the number B, then the number B is smaller than the number A? (? )

? a.20%？ b.25% c.33%d.30%

? 8. A 270-page book. If someone reads 2/9 of the book on the first day and 2/5 of the book on the second day, how many pages did he read the next day? )

? .48 caliber? b.96 c.24d.72

? 9. On a trip, Xiao Wang drove 2 16 kilometers on the first day and walked 378 kilometers at the same speed the next day. If Xiao Wang walks three hours longer than the first day, what is his speed (km/h)? )

? .62 caliber? b.54 c.46d.38

? 10. One day, Xiao Zhang found that the desk calendar on his desk had not been turned over for seven days, so he turned over seven at a time. When the dates of these seven days are added up, the number is exactly 77. What's the date today? )

? a. 13b

? 1 1. What are the numbers in a 300-page book? l？ How many times did it appear in the book (? )

? a. 140？ b. 160c. 180？ d. 120

12. If a cube with a volume of L cubic meters is divided into cubes with a volume of L cubic decimeters, and they are connected one by one with a straight line, how long (meters) can they be connected? )

? a . 100 b . 10 c . 1000d . 1

? 13. There are 30 true and false questions in an exam. For each correct answer, you get 4 points. If you don't do or make a mistake, 2 points will be deducted. Zhou Xiao scored 96 points. Ask him how many questions he did correctly (? )

? .24 caliber? b.26 c.28？ Cao 25

? 14. There is a road, and now I want to erect a telephone pole on one side of the road. It is known that the length of the road is100m, and a telephone pole is erected every10m. How many * * * do you need? )

? a.9？ b. 10 c. 1 1？ d. 12

? 15. It is known that yesterday was Monday, so what day is it in 200 days? )

? A.monday? B. Zhou- C. Saturday? D. Thursday

? Fourth, the analysis of mathematical operation examples

? 1: If we examine this problem carefully, we will find that all four numbers are composed of integer parts and decimal parts. So this problem can be divided into two parts: integer part and decimal part. If we only look at the integer part, the sum of the second and third numbers is exactly 100, and the sum of the first and fourth numbers is exactly 98. If you look at the decimal part, the sum of 0. 16 of the first number and 0.84 of the third number is exactly L, and the sum of 0.82 of the second number and 0. 18 of the fourth number is exactly 65438. So option b is the correct answer.

? 2. This question type is the most basic four kinds of operation questions, which mainly examines the mathematical calculation ability of candidates. After calculation, we can know that the correct answer to this question is D. Some complicated decimal point calculation problems actually require the calculation of the decimal point, so that the answer can be directly selected by exclusion.

? 3. This problem is a factorization of junior high school. Using the square difference formula of junior high school, it is easy to get the correct answer as B.

? 4. This is a question to examine the ability of factorization inverse operation; Observation shows that there are 98 squares, 4=22, and the middle number can be regarded as 4×98 = 2 ~ 2×98, so the above formula becomes 982+2x2x98+22 = (100) 2 =10000, so the correct answer should be a.

? The first half of 5: 00 takes 24 minutes, and the driving distance is 24/60 x 30= 12 (km). Then the remaining distance is: 40- 12=28 (km). It takes 3.5 hours (28? 8) The sum of 3.5 hours and 24 minutes is 234 minutes. So the answer is B.

? 6. The ratio of price increase to price decrease is 20%, so it is necessary to judge whether it is much higher or much lower, and the basis of price increase is needed. Obviously, the latter is bigger, that is, the price is much higher than the price increase. The answer is a.

? 7. There are many ways to calculate this kind of problem. The simplest method is to assume that the number B is L, then we can know that the number A is 1.25, and then we can infer the answer by simple calculation. The answer is a.

? 8: I read 108 (270 x2/5) the next day and 60 pages (270 x2/9) the first day, so I read 48 pages more than the first day (108-60). The answer is a.

? At 9: 00, the second day is 3 hours longer than the first day, and the extra distance is 162 km (378-2 16), so the speed is known. The answer is B.

? 10: If the sum of the numbers in 7 days is 77 and the average ll is right in the middle, the answer can be deduced. The answer is B.

? 1 1: When solving a problem, you may wish to look at the unit, one tenth and one hundredth respectively. Did the unit appear? 1? The frequency is 30, the number of digits is 30, and the number of digits is 100. The answer is B.

? 12: A large cube can be divided into 1000 small cubes, which can obviously be arranged as 1000 decimeter, and 1000 decimeter is1000 meter. Don't forget that the unit in question is meters. The answer is a.

? 13: The answer is B. Assuming that we have done X problems correctly, we will list the linear equation of one yuan: 4x-2(30-x)=96, and the solution is x=26.

? 14: This is a problem of planting trees together. Is to give you a section of road and plant trees (or other things) on one side or both sides of the road. In fact, the principle is the same as the punctuation of line segments in primary school mathematics. You can also draw a line segment when you do the problem, and then count the points you mark. According to this method, we can know that the correct answer to this question is ll, which is C.

? 15: this is a calendar calculation problem, and its calculation principle is that a week takes seven days as a cycle and keeps circulating. The topic said yesterday was Monday, so today is Tuesday, 200 days from today, so how many seven days are there in 200 days, 200? 7=284, there are four days left, so 200 days later is Tuesday, and four days later is Saturday, so the answer is C. This kind of question can also change the given date or the number of days in the future at will, but the principle remains the same.